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Finding the Third Proportional to 879.50 and 1,345

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Solution

The third proportional to 879.50 and 1,345 is: 2,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.50 : 1,345 = 1,345 : x
  2. Step 2: Convert to fraction form
    879.50/1,345 = 1,345/x
  3. Step 3: Cross multiply
    879.50x = 1,345 × 1,345
  4. Step 4: Simplify right side
    879.50x = 1,809,025
  5. Step 5: Solve for x
    x = 1,809,025/879.50
  6. Step 6: Final answer
    x = 2,056.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.